Search a number
-
+
11015314002 = 23271121293733
BaseRepresentation
bin10100100001001000…
…00101101001010010
31001102200020221002200
422100210011221102
5140024410022002
65021012224030
7536653424040
oct122044055122
931380227080
1011015314002
1147429484a0
12217500b016
131067159ba4
14766d39390
154470b6b1c
hex290905a52

11015314002 has 96 divisors (see below), whose sum is σ = 29777604480. Its totient is φ = 2859010560.

The previous prime is 11015313971. The next prime is 11015314003. The reversal of 11015314002 is 20041351011.

11015314002 is a `hidden beast` number, since 110 + 153 + 1 + 400 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11015314003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948928 + ... + 2952660.

It is an arithmetic number, because the mean of its divisors is an integer number (310183380).

Almost surely, 211015314002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11015314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888802240).

11015314002 is an abundant number, since it is smaller than the sum of its proper divisors (18762290478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11015314002 is a wasteful number, since it uses less digits than its factorization.

11015314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11015314002 its reverse (20041351011), we get a palindrome (31056665013).

The spelling of 11015314002 in words is "eleven billion, fifteen million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 2129 3733 4258 6387 7466 11199 12774 14903 19161 22398 23419 26131 29806 33597 38322 41063 44709 46838 52262 67194 70257 78393 82126 89418 123189 134127 140514 156786 163933 210771 235179 246378 268254 287441 327866 369567 421542 470358 491799 574882 739134 862323 983598 1475397 1724646 2586969 2950794 5173938 7947557 15895114 23842671 47685342 55632899 71528013 87423127 111265798 143056026 166898697 174846254 262269381 333797394 500696091 524538762 611961889 786808143 1001392182 1223923778 1573616286 1835885667 3671771334 5507657001 11015314002